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Operations Research




                    Notes
                                                   Figure 5.2:  Network Model  of Transportation  Problem
                                                       Factory                    Warehouse
                                                       Source                     Destination
                                            6000
                                                                        5                          5000
                                                       Chennai                     Bangalore
                                                         1           6                1

                                                                       9
                                                                     7
                                                                    7
                                     Supply          Coimbatore                     Hyderabad          Demand
                                                         2
                                            5000                                             8  2  4000
                                                                     2
                                                                   4




                                                                                      Cochin
                                                                    6  3                3        2000
                                                                       5

                                                4000  Madurai
                                                         3
                                                                                                                         3
                                                                                       Goa
                                                               Transportation cost      4        4000



                                   The management of GM Textiles would like to determine the number of units to be shipped
                                   from each textile unit to satisfy the demand of each wholesale distributor. The supply, demand
                                   and transportation cost are as follows:

                                                           Table  5.2  (a): Production  Capacities

                                          Supply          Textile Unit           Weekly Production (Units)
                                            1              Chennai                       6000
                                            2             Coimbatore                     5000
                                            3              Madurai                       4000

                                                          Table  5.2  (b): Demand  Requirements
                                        Destination       Wholesale Distributor       Weekly Demand (Units)
                                            1                  Bangalore                     5000
                                            2                  Hyderabad                     4000
                                            3                   Cochin                       2000
                                            4                    Goa                         4000









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